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Finding the Fourth Proportional to 417,507.21, 576,157.46 and 226,516.50

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Solution

The fourth proportional to 417,507.21, 576,157.46 and 226,516.50 is: 312,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,507.21 : 576,157.46 = 226,516.50 : x
  2. Step 2: Convert to fraction form
    417,507.21/576,157.46 = 226,516.50/x
  3. Step 3: Cross multiply
    417,507.21x = 576,157.46 × 226,516.50
  4. Step 4: Simplify right side
    417,507.21x = 130,509,170,155.51
  5. Step 5: Solve for x
    x = 130,509,170,155.51/417,507.21
  6. Step 6: Final answer
    x = 312,591.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.